Question

Which expression is equivalent to 2^6 x 2^-4/2^7?

Answer 1

`( 2^(6)* 2^(-4))/( 2^(7) ) = ?`


`(2^(6+(-4)))/( 2^(7)) = ( 2^(6-4) )/( 2^(7) ) = ( 2^(2) )/( 2^(7) ) = 2^(2-7) = 2^(-5) = (1)/(2^(5) ) = \boxed{(1)/(32) }`

Good Studies!